Calling Sequence

Arguments

rational function with degree n denominator and degree n-1 numerator if y(1)==0 or rational function with degree n denominator and numerator if y(1)<>0.

err

||y - impuls(H,npt)||^2, where impuls(H,npt) are the npt first coefficients of impulse response of H

Description

Identification of discrete time response. If y is strictly
proper (y(1)=0) then time_id computes the least square
solution of the linear equation: Den*y-Num*u=0 with the
constraint coeff(Den,n):=1. if y(1)~=0 then the algorithm
first computes the proper part solution and then add y(1) to the solution

Examples

z=poly(0,'z');h=(1-2*z)/(z^2-0.5*z+5)rep=[0;ldiv(h('num'),h('den'),20)];//impulse responseH=time_id(2,'impuls',rep)// Same example with flts and uu=zeros(1,20);u(1)=1;rep=flts(u,tf2ss(h));//impulse responseH=time_id(2,u,rep)// step responseu=ones(1,20);rep=flts(u,tf2ss(h));//step response.H=time_id(2,'step',rep)H=time_id(3,u,rep)//with u as input and too high order required